Question

In: Advanced Math

For the following exercises, solve each system by Gaussian elimination.

For the following exercises, solve each system by Gaussian elimination.

Solutions

Expert Solution

Using Gaussian elimination:

Consider the following system of equations

1/40x + 1/60y + 1/80z = 1/100 …… (1)

-1/2x -1/3y -1/4z = -1/5 …… (2)

3/8x + 3/12y + 3/16z = 3/20 …… (3)

 

To solve the system of equations,

 

Multiply equation (1) 1/40x + 1/60y + 1/80z = 1/100 by 20 and add it to equation (2) -1/2x -1/3y -1/4z = -1/5 to get,

1/2x + 1/3y + 1/4z = 1/5

-1/2x -1/3y -1/4z    = -1/5 

                              0 = 0

 

It does not need to proceed any further. The result we get is an identity, 0 = 0, which tells us that this system has an infinite number of solutions.

It does not need to proceed any further. The result we get is an identity, 0 = 0, which tells us that this system has an infinite number of solutions.

Nabeel answered 1 year ago
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